The solutions of Green's function of diffusion equation for three-layered matched medium in the steady state

摘要

Near-IR radiation is often utilized to detect the properties in tissues. If the diffusion equation can be applied to analyze and determine optical properties of superficial biological tissue, the pathological changes occurring in vivo will be understood and thus the noninvasive measurement can be realized. Up to now, a semi-infinite medium photon migration model and a two-layered turbid medium model are applied widely. On the basis of diffusion equation, the photon diffusion through a three-layered matching medium was analyzed and the Green's function in the steady state solved by employing the extrapolated boundary condition. With the results, it is found the solution of two-layered media is the simplified form of three-layered matching turbid media.